I thought there might have been a need to send an ID to prove that you actually have the name you're registering for so you would need to wait for the birth certificate but from wikipedia it doesn't seem like that's the case.

No requirements at all. My mom had registered my firstlast.com domain some 30 years ago. While caring for my dying dad, she let all her domain registrations expire. I then had to negotiate with a domain squatter to get my domain back.